Atkin-Lehner |
2- 3- 23+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
98256l |
Isogeny class |
Conductor |
98256 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
150921216 = 213 · 32 · 23 · 89 |
Discriminant |
Eigenvalues |
2- 3- -1 2 2 1 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-136,116] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:24:1] |
Generators of the group modulo torsion |
j |
68417929/36846 |
j-invariant |
L |
8.9348973589154 |
L(r)(E,1)/r! |
Ω |
1.5970727480708 |
Real period |
R |
0.69931828066722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014174 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12282c1 |
Quadratic twists by: -4 |